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Disturbance observer-based event-triggered impulsive control for nonlinear systems with unknown external disturbances

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  • Xing, Ying
  • He, Xinyi
  • Li, Xiaodi

Abstract

Input-to-state practical stability (ISpS) of a kind of nonlinear systems suffering from unknown exogenous disturbances is explored in this article, where a disturbance observer is established to estimate the information of the exogenous disturbances. To achieve ISpS of the system, the impulsive controller as well as state-feedback controller are both considered to regulate the discrete and continuous dynamics of the system, respectively. Especially, a novel disturbance observer-based event-triggered mechanism is devised to decide the release of impulsive control signal. Furthermore, several adequate conditions are given for excluding the occurrence of Zeno phenomenon. To confirm the feasibility of the proposed results, two numerical instances and their corresponding simulation results are presented.

Suggested Citation

  • Xing, Ying & He, Xinyi & Li, Xiaodi, 2025. "Disturbance observer-based event-triggered impulsive control for nonlinear systems with unknown external disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 263-271.
    • Handle: RePEc:eee:matcom:v:227:y:2025:i:c:p:263-271
    DOI: 10.1016/j.matcom.2024.08.012
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    References listed on IDEAS

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    1. Luo, Lingao & Li, Lulu & Huang, Wei, 2024. "Asymptotic stability of fractional-order Hopfield neural networks with event-triggered delayed impulses and switching effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 491-504.
    2. Pooja Lakshmi, K. & Senthilkumar, T., 2023. "Robust exponential synchronization results for uncertain infinite time varying distributed delayed neural networks with flexible delayed impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 267-281.
    3. Zhao, Caidi & Jiang, Huite & Caraballo, Tomás, 2021. "Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices," Applied Mathematics and Computation, Elsevier, vol. 404(C).
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